Finding the Third Proportional to 49,271 and 111,695

Step by Step Solution

1. Step 1: Write the proportion equation
   49,271 : 111,695 = 111,695 : x
2. Step 2: Convert to fraction form
   49,271/111,695 = 111,695/x
3. Step 3: Cross multiply
   49,271x = 111,695 × 111,695
4. Step 4: Simplify right side
   49,271x = 12,475,773,025
5. Step 5: Solve for x
   x = 12,475,773,025/49,271
6. Step 6: Final answer
   x = 253,207.22